We find that when chords are congruent, the central angles are congruent as well.
Work Step by Step
The best way to prove this problem is to use what we found in the previous parts of this problem. In part c, we determined that congruent chords have congruent arcs. Then, in part a, we determined that congruent arcs have congruent central angles. Thus, by the transitive property, we obtain that congruent chords have congruent central angles.